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Finding the Third Proportional to 543,906 and 1,178,208.50

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Solution

The third proportional to 543,906 and 1,178,208.50 is: 2,552,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,906 : 1,178,208.50 = 1,178,208.50 : x
  2. Step 2: Convert to fraction form
    543,906/1,178,208.50 = 1,178,208.50/x
  3. Step 3: Cross multiply
    543,906x = 1,178,208.50 × 1,178,208.50
  4. Step 4: Simplify right side
    543,906x = 1,388,175,269,472.25
  5. Step 5: Solve for x
    x = 1,388,175,269,472.25/543,906
  6. Step 6: Final answer
    x = 2,552,233.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.